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Finding the Fourth Proportional to 8,519.77, 11,760.15 and 5,832.60

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Solution

The fourth proportional to 8,519.77, 11,760.15 and 5,832.60 is: 8,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.77 : 11,760.15 = 5,832.60 : x
  2. Step 2: Convert to fraction form
    8,519.77/11,760.15 = 5,832.60/x
  3. Step 3: Cross multiply
    8,519.77x = 11,760.15 × 5,832.60
  4. Step 4: Simplify right side
    8,519.77x = 68,592,250.89
  5. Step 5: Solve for x
    x = 68,592,250.89/8,519.77
  6. Step 6: Final answer
    x = 8,050.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.